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Finding the Fourth Proportional to 16,833.58, 25,238.22 and 5,140.42

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Solution

The fourth proportional to 16,833.58, 25,238.22 and 5,140.42 is: 7,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.58 : 25,238.22 = 5,140.42 : x
  2. Step 2: Convert to fraction form
    16,833.58/25,238.22 = 5,140.42/x
  3. Step 3: Cross multiply
    16,833.58x = 25,238.22 × 5,140.42
  4. Step 4: Simplify right side
    16,833.58x = 129,735,050.85
  5. Step 5: Solve for x
    x = 129,735,050.85/16,833.58
  6. Step 6: Final answer
    x = 7,706.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.